34514954245440 has 560 divisors, whose sum is σ = 123269530285440. Its totient is φ = 9167032258560.

The previous prime is 34514954245411. The next prime is 34514954245459. The reversal of 34514954245440 is 4454245941543.

34514954245440 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 4 + 9 + 542 + 4 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16927391941 + ... + 16927393979.

It is an arithmetic number, because the mean of its divisors is an integer number (220124161224).

Almost surely, 2^{34514954245440} is an apocalyptic number.

34514954245440 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 34514954245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61634765142720).

34514954245440 is an abundant number, since it is smaller than the sum of its proper divisors (88754576040000).

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

34514954245440 is a wasteful number, since it uses less digits than its factorization.

34514954245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 34514954245440 in words is "thirty-four trillion, five hundred fourteen billion, nine hundred fifty-four million, two hundred forty-five thousand, four hundred forty".