40172894208 has 576 divisors, whose sum is σ = 130395938400. Its totient is φ = 11859394560.

The previous prime is 40172894183. The next prime is 40172894213. The reversal of 40172894208 is 80249827104.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40172894208² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680896483 + ... + 680896541.

Almost surely, 2^40172894208 is an apocalyptic number.

40172894208 is a gapful number since it is divisible by the number (48) 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 40172894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197969200).

40172894208 is an abundant number, since it is smaller than the sum of its proper divisors (90223044192).

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

40172894208 is a wasteful number, since it uses less digits than its factorization.

40172894208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40172894208 in words is "forty billion, one hundred seventy-two million, eight hundred ninety-four thousand, two hundred eight".