40200889764672 has 672 divisors, whose sum is σ = 150082075248000. Its totient is φ = 10457172762624.

The previous prime is 40200889764647. The next prime is 40200889764709. The reversal of 40200889764672 is 27646798800204.

40200889764672 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 0 + 88 + 97 + 6 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40200889764672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 80103579 + ... + 80603877.

It is an arithmetic number, because the mean of its divisors is an integer number (223336421500).

Almost surely, 2^{40200889764672} is an apocalyptic number.

40200889764672 is a gapful number since it is divisible by the number (42) 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 40200889764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75041037624000).

40200889764672 is an abundant number, since it is smaller than the sum of its proper divisors (109881185483328).

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

40200889764672 is a wasteful number, since it uses less digits than its factorization.

40200889764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500420 (or 500397 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 40200889764672 in words is "forty trillion, two hundred billion, eight hundred eighty-nine million, seven hundred sixty-four thousand, six hundred seventy-two".