40684920000 has 280 divisors, whose sum is σ = 137073260016. Its totient is φ = 10642944000.

The previous prime is 40684919993. The next prime is 40684920007. The reversal of 40684920000 is 2948604.

It is an interprime number because it is at equal distance from previous prime (40684919993) and next prime (40684920007).

It is not an unprimeable number, because it can be changed into a prime (40684920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6356802 + ... + 6363198.

Almost surely, 2^40684920000 is an apocalyptic number.

40684920000 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 40684920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68536630008).

40684920000 is an abundant number, since it is smaller than the sum of its proper divisors (96388340016).

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

40684920000 is an equidigital number, since it uses as much as digits as its factorization.

40684920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 40684920000 in words is "forty billion, six hundred eighty-four million, nine hundred twenty thousand".