334145965440 has 256 divisors, whose sum is σ = 1281312576000. Its totient is φ = 72356364288.

The previous prime is 334145965397. The next prime is 334145965651. The reversal of 334145965440 is 44569541433.

It is a super-2 number, since 2×334145965440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 334145965440.

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, 398905 + ... + 909624.

It is an arithmetic number, because the mean of its divisors is an integer number (5005127250).

Almost surely, 2^334145965440 is an apocalyptic number.

334145965440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334145965440 is an abundant number, since it is smaller than the sum of its proper divisors (947166610560).

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

334145965440 is a wasteful number, since it uses less digits than its factorization.

334145965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308577 (or 1308565 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 334145965440 in words is "three hundred thirty-four billion, one hundred forty-five million, nine hundred sixty-five thousand, four hundred forty".