334582413480 has 1728 divisors, whose sum is σ = 1468565017920. Its totient is φ = 68035645440.

The previous prime is 334582413469. The next prime is 334582413491. The reversal of 334582413480 is 84314285433.

334582413480 is a `hidden beast` number, since 3 + 34 + 582 + 4 + 1 + 34 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (334582413469) and next prime (334582413491).

It is a super-2 number, since 2×334582413480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7780986339 + ... + 7780986381.

It is an arithmetic number, because the mean of its divisors is an integer number (849864015).

Almost surely, 2^334582413480 is an apocalyptic number.

334582413480 is a gapful number since it is divisible by the number (30) 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 334582413480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734282508960).

334582413480 is an abundant number, since it is smaller than the sum of its proper divisors (1133982604440).

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

334582413480 is a wasteful number, since it uses less digits than its factorization.

334582413480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 334582413480 in words is "three hundred thirty-four billion, five hundred eighty-two million, four hundred thirteen thousand, four hundred eighty".