1402211144400 has 120 divisors (see below), whose sum is σ = 4900090627104. Its totient is φ = 339929971200.

The previous prime is 1402211144387. The next prime is 1402211144417. The reversal of 1402211144400 is 44411122041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 53100859 + ... + 53127258.

Almost surely, 2^{1402211144400} is an apocalyptic number.

1402211144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1402211144400 is an abundant number, since it is smaller than the sum of its proper divisors (3497879482704).

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

1402211144400 is a wasteful number, since it uses less digits than its factorization.

1402211144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106228149 (or 106228138 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1402211144400 its reverse (44411122041), we get a palindrome (1446622266441).

The spelling of 1402211144400 in words is "one trillion, four hundred two billion, two hundred eleven million, one hundred forty-four thousand, four hundred".