40135680000 has 840 divisors, whose sum is σ = 158352442248. Its totient is φ = 9732096000.

The previous prime is 40135679989. The next prime is 40135680007. The reversal of 40135680000 is 8653104.

It is a super-2 number, since 2×40135680000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599039967 + ... + 599040033.

Almost surely, 2^40135680000 is an apocalyptic number.

40135680000 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 40135680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79176221124).

40135680000 is an abundant number, since it is smaller than the sum of its proper divisors (118216762248).

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

40135680000 is an equidigital number, since it uses as much as digits as its factorization.

40135680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40135680000 in words is "forty billion, one hundred thirty-five million, six hundred eighty thousand".