172400714040 has 128 divisors (see below), whose sum is σ = 521308157760. Its totient is φ = 45609467904.

The previous prime is 172400714039. The next prime is 172400714069. The reversal of 172400714040 is 40417004271.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172400713989 and 172400714007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12672522 + ... + 12686118.

Almost surely, 2^172400714040 is an apocalyptic number.

172400714040 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 172400714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260654078880).

172400714040 is an abundant number, since it is smaller than the sum of its proper divisors (348907443720).

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

172400714040 is a wasteful number, since it uses less digits than its factorization.

172400714040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14441 (or 14437 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 172400714040 in words is "one hundred seventy-two billion, four hundred million, seven hundred fourteen thousand, forty".