40768634880 has 312 divisors, whose sum is σ = 146565756792. Its totient is φ = 10871635968.

The previous prime is 40768634833. The next prime is 40768634903. The reversal of 40768634880 is 8843686704.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)³ ⋅ (2!)¹².

40768634880 is a `hidden beast` number, since 40 + 7 + 68 + 63 + 488 + 0 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=96.

It is a super-2 number, since 2×40768634880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8153726974 + ... + 8153726978.

It is an arithmetic number, because the mean of its divisors is an integer number (469762041).

Almost surely, 2^40768634880 is an apocalyptic number.

40768634880 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 40768634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73282878396).

40768634880 is an abundant number, since it is smaller than the sum of its proper divisors (105797121912).

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

40768634880 is an frugal number, since it uses more digits than its factorization.

40768634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40768634880 in words is "forty billion, seven hundred sixty-eight million, six hundred thirty-four thousand, eight hundred eighty".