172419287040 has 2304 divisors, whose sum is σ = 847016352000. Its totient is φ = 32699842560.

The previous prime is 172419287021. The next prime is 172419287063. The reversal of 172419287040 is 40782914271.

172419287040 is a `hidden beast` number, since 172 + 419 + 28 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1937295316 + ... + 1937295404.

It is an arithmetic number, because the mean of its divisors is an integer number (367628625).

Almost surely, 2^172419287040 is an apocalyptic number.

172419287040 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 172419287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423508176000).

172419287040 is an abundant number, since it is smaller than the sum of its proper divisors (674597064960).

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

172419287040 is a wasteful number, since it uses less digits than its factorization.

172419287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 172419287040 in words is "one hundred seventy-two billion, four hundred nineteen million, two hundred eighty-seven thousand, forty".