40707312000 has 256 divisors, whose sum is σ = 135585515520. Its totient is φ = 10803763200.

The previous prime is 40707311989. The next prime is 40707312011. The reversal of 40707312000 is 21370704.

It is an interprime number because it is at equal distance from previous prime (40707311989) and next prime (40707312011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10702099 + ... + 10705901.

It is an arithmetic number, because the mean of its divisors is an integer number (529630920).

Almost surely, 2^40707312000 is an apocalyptic number.

40707312000 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 40707312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67792757760).

40707312000 is an abundant number, since it is smaller than the sum of its proper divisors (94878203520).

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

40707312000 is a wasteful number, since it uses less digits than its factorization.

40707312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

Adding to 40707312000 its reverse (21370704), we get a palindrome (40728682704).

The spelling of 40707312000 in words is "forty billion, seven hundred seven million, three hundred twelve thousand".