1602115144400 has 60 divisors (see below), whose sum is σ = 3901808851212. Its totient is φ = 632067333120.

The previous prime is 1602115144349. The next prime is 1602115144463. The reversal of 1602115144400 is 44415112061.

It can be written as a sum of positive squares in 6 ways, for example, as 61627069504 + 1540488074896 = 248248^2 + 1241164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27404279 + ... + 27462678.

Almost surely, 2^{1602115144400} is an apocalyptic number.

1602115144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1602115144400 is an abundant number, since it is smaller than the sum of its proper divisors (2299693706812).

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

1602115144400 is a wasteful number, since it uses less digits than its factorization.

1602115144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54867048 (or 54867037 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 1602115144400 in words is "one trillion, six hundred two billion, one hundred fifteen million, one hundred forty-four thousand, four hundred".