40337434000 has 160 divisors (see below), whose sum is σ = 101373199200. Its totient is φ = 15505459200.

The previous prime is 40337433989. The next prime is 40337434009. The reversal of 40337434000 is 43473304.

It can be written as a sum of positive squares in 16 ways, for example, as 10455471504 + 29881962496 = 102252^2 + 172864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40337434000.

It is not an unprimeable number, because it can be changed into a prime (40337434009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13280482 + ... + 13283518.

It is an arithmetic number, because the mean of its divisors is an integer number (633582495).

Almost surely, 2^40337434000 is an apocalyptic number.

40337434000 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 40337434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50686599600).

40337434000 is an abundant number, since it is smaller than the sum of its proper divisors (61035765200).

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

40337434000 is a wasteful number, since it uses less digits than its factorization.

40337434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The spelling of 40337434000 in words is "forty billion, three hundred thirty-seven million, four hundred thirty-four thousand".