161342672400 has 2160 divisors, whose sum is σ = 773766448000. Its totient is φ = 30847703040.

The previous prime is 161342672321. The next prime is 161342672437. The reversal of 161342672400 is 4276243161.

161342672400 is a `hidden beast` number, since 16 + 1 + 342 + 67 + 240 + 0 = 666.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7014898789 + ... + 7014898811.

Almost surely, 2^161342672400 is an apocalyptic number.

161342672400 is a gapful number since it is divisible by the number (10) 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 161342672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386883224000).

161342672400 is an abundant number, since it is smaller than the sum of its proper divisors (612423775600).

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

161342672400 is a wasteful number, since it uses less digits than its factorization.

161342672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 161342672400 in words is "one hundred sixty-one billion, three hundred forty-two million, six hundred seventy-two thousand, four hundred".