1400886144 has 256 divisors, whose sum is σ = 4791552000. Its totient is φ = 394647552.

The previous prime is 1400886043. The next prime is 1400886191. The reversal of 1400886144 is 4416880041.

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

It is a junction number, because it is equal to n+sod(n) for n = 1400886099 and 1400886108.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1910802 + ... + 1911534.

It is an arithmetic number, because the mean of its divisors is an integer number (18717000).

Almost surely, 2^1400886144 is an apocalyptic number.

1400886144 is a gapful number since it is divisible by the number (14) 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 1400886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395776000).

1400886144 is an abundant number, since it is smaller than the sum of its proper divisors (3390665856).

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

1400886144 is an equidigital number, since it uses as much as digits as its factorization.

1400886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1400886144 is about 37428.4135918155. The cubic root of 1400886144 is about 1118.9249207510.

The spelling of 1400886144 in words is "one billion, four hundred million, eight hundred eighty-six thousand, one hundred forty-four".