40813437772800 has 4224 divisors, whose sum is σ = 199774413619200. Its totient is φ = 7914848256000.

The previous prime is 40813437772733. The next prime is 40813437772801. The reversal of 40813437772800 is 827773431804.

40813437772800 is a `hidden beast` number, since 40 + 81 + 3 + 437 + 77 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40813437772801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47846937174 + ... + 47846938026.

Almost surely, 2^{40813437772800} is an apocalyptic number.

40813437772800 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 40813437772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99887206809600).

40813437772800 is an abundant number, since it is smaller than the sum of its proper divisors (158960975846400).

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

40813437772800 is a wasteful number, since it uses less digits than its factorization.

40813437772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 40813437772800 in words is "forty trillion, eight hundred thirteen billion, four hundred thirty-seven million, seven hundred seventy-two thousand, eight hundred".