41772712800 has 576 divisors, whose sum is σ = 177207657984. Its totient is φ = 8294400000.

The previous prime is 41772712771. The next prime is 41772712819. The reversal of 41772712800 is 821727714.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3707175 + ... + 3718425.

It is an arithmetic number, because the mean of its divisors is an integer number (307652184).

Almost surely, 2^41772712800 is an apocalyptic number.

41772712800 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 41772712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88603828992).

41772712800 is an abundant number, since it is smaller than the sum of its proper divisors (135434945184).

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

41772712800 is a wasteful number, since it uses less digits than its factorization.

41772712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 41772712800 in words is "forty-one billion, seven hundred seventy-two million, seven hundred twelve thousand, eight hundred".