172641047040 has 960 divisors, whose sum is σ = 778033631232. Its totient is φ = 34305638400.

The previous prime is 172641047027. The next prime is 172641047041. The reversal of 172641047040 is 40740146271.

It is a happy number.

172641047040 is a `hidden beast` number, since 1 + 7 + 2 + 641 + 0 + 4 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×172641047040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172641046986 and 172641047004.

It is not an unprimeable number, because it can be changed into a prime (172641047041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40801725 + ... + 40805955.

Almost surely, 2^172641047040 is an apocalyptic number.

172641047040 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 172641047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389016815616).

172641047040 is an abundant number, since it is smaller than the sum of its proper divisors (605392584192).

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

172641047040 is a wasteful number, since it uses less digits than its factorization.

172641047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 172641047040 in words is "one hundred seventy-two billion, six hundred forty-one million, forty-seven thousand, forty".