40772256800 has 270 divisors, whose sum is σ = 111375303165. Its totient is φ = 14574982400.

The previous prime is 40772256793. The next prime is 40772256823. The reversal of 40772256800 is 865227704.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 39956811664 + 815445136 = 199892^2 + 28556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=142780.

It is a super-3 number, since 3×40772256800³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 691055171 + ... + 691055229.

Almost surely, 2^40772256800 is an apocalyptic number.

40772256800 is a gapful number since it is divisible by the number (40) 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 40772256800

40772256800 is an abundant number, since it is smaller than the sum of its proper divisors (70603046365).

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

40772256800 is an frugal number, since it uses more digits than its factorization.

40772256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 40772256800 in words is "forty billion, seven hundred seventy-two million, two hundred fifty-six thousand, eight hundred".