1400220641952 has 288 divisors, whose sum is σ = 4507029596160. Its totient is φ = 424094641920.

The previous prime is 1400220641947. The next prime is 1400220641999. The reversal of 1400220641952 is 2591460220041.

It is a happy number.

1400220641952 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 2 + 0 + 641 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1400220641952² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278759313 + ... + 278764335.

It is an arithmetic number, because the mean of its divisors is an integer number (15649408320).

Almost surely, 2^{1400220641952} is an apocalyptic number.

1400220641952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400220641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253514798080).

1400220641952 is an abundant number, since it is smaller than the sum of its proper divisors (3106808954208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1400220641952 is a wasteful number, since it uses less digits than its factorization.

1400220641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1400220641952 its reverse (2591460220041), we get a palindrome (3991680861993).

The spelling of 1400220641952 in words is "one trillion, four hundred billion, two hundred twenty million, six hundred forty-one thousand, nine hundred fifty-two".