40134356583552 has 1536 divisors, whose sum is σ = 151200763084800. Its totient is φ = 9917527818240.

The previous prime is 40134356583469. The next prime is 40134356583557. The reversal of 40134356583552 is 25538565343104.

40134356583552 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 3 + 5 + 6 + 5 + 83 + 552 = 666.

It is a super-2 number, since 2×40134356583552² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40134356583557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30427866349 + ... + 30427867667.

It is an arithmetic number, because the mean of its divisors is an integer number (98437996800).

Almost surely, 2^{40134356583552} is an apocalyptic number.

40134356583552 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 40134356583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600381542400).

40134356583552 is an abundant number, since it is smaller than the sum of its proper divisors (111066406501248).

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

40134356583552 is a wasteful number, since it uses less digits than its factorization.

40134356583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 40134356583552 in words is "forty trillion, one hundred thirty-four billion, three hundred fifty-six million, five hundred eighty-three thousand, five hundred fifty-two".