172971432023040 has 4224 divisors, whose sum is σ = 779885383680000. Its totient is φ = 35261875224576.

The previous prime is 172971432023009. The next prime is 172971432023069. The reversal of 172971432023040 is 40320234179271.

172971432023040 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 7 + 14 + 320 + 2 + 304 + 0 = 666.

It is a super-3 number, since 3×172971432023040³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 545651204962 + ... + 545651205278.

Almost surely, 2^{172971432023040} is an apocalyptic number.

172971432023040 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 172971432023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389942691840000).

172971432023040 is an abundant number, since it is smaller than the sum of its proper divisors (606913951656960).

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

172971432023040 is a wasteful number, since it uses less digits than its factorization.

172971432023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 172971432023040 in words is "one hundred seventy-two trillion, nine hundred seventy-one billion, four hundred thirty-two million, twenty-three thousand, forty".