40734134138880 has 864 divisors, whose sum is σ = 174711714821280. Its totient is φ = 8594431672320.

The previous prime is 40734134138851. The next prime is 40734134138897. The reversal of 40734134138880 is 8883143143704.

40734134138880 is a `hidden beast` number, since 4 + 0 + 73 + 4 + 1 + 3 + 413 + 88 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108838470 + ... + 109212090.

It is an arithmetic number, because the mean of its divisors is an integer number (202212632895).

Almost surely, 2^{40734134138880} is an apocalyptic number.

40734134138880 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 40734134138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87355857410640).

40734134138880 is an abundant number, since it is smaller than the sum of its proper divisors (133977580682400).

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

40734134138880 is a wasteful number, since it uses less digits than its factorization.

40734134138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373687 (or 373651 counting only the distinct ones).

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

The spelling of 40734134138880 in words is "forty trillion, seven hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-eight thousand, eight hundred eighty".