40465920000 has 520 divisors, whose sum is σ = 147390819840. Its totient is φ = 9789440000.

The previous prime is 40465919999. The next prime is 40465920017. The reversal of 40465920000 is 2956404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 40465920000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84479761 + ... + 84480239.

Almost surely, 2^40465920000 is an apocalyptic number.

40465920000 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 40465920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73695409920).

40465920000 is an abundant number, since it is smaller than the sum of its proper divisors (106924899840).

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

40465920000 is an equidigital number, since it uses as much as digits as its factorization.

40465920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 40465920000 in words is "forty billion, four hundred sixty-five million, nine hundred twenty thousand".