1400102400132 has 72 divisors (see below), whose sum is σ = 3694776485400. Its totient is φ = 446473617408.

The previous prime is 1400102400127. The next prime is 1400102400149. The reversal of 1400102400132 is 2310042010041.

1400102400132 is a `hidden beast` number, since 1 + 400 + 10 + 240 + 0 + 13 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63734031936 + 1336368368196 = 252456^2 + 1156014^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6038013 + ... + 6265604.

It is an arithmetic number, because the mean of its divisors is an integer number (51316340075).

Almost surely, 2^{1400102400132} is an apocalyptic number.

1400102400132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1400102400132 is an abundant number, since it is smaller than the sum of its proper divisors (2294674085268).

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

1400102400132 is a wasteful number, since it uses less digits than its factorization.

1400102400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303765 (or 12303760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1400102400132 its reverse (2310042010041), we get a palindrome (3710144410173).

The spelling of 1400102400132 in words is "one trillion, four hundred billion, one hundred two million, four hundred thousand, one hundred thirty-two".