34104251042400 has 864 divisors, whose sum is σ = 143948390713344. Its totient is φ = 6857985024000.

The previous prime is 34104251042359. The next prime is 34104251042479. The reversal of 34104251042400 is 424015240143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62746204 + ... + 63287396.

It is an arithmetic number, because the mean of its divisors is an integer number (166606933696).

Almost surely, 2^{34104251042400} is an apocalyptic number.

34104251042400 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 34104251042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71974195356672).

34104251042400 is an abundant number, since it is smaller than the sum of its proper divisors (109844139670944).

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

34104251042400 is a wasteful number, since it uses less digits than its factorization.

34104251042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541276 (or 541252 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 34104251042400 its reverse (424015240143), we get a palindrome (34528266282543).

The spelling of 34104251042400 in words is "thirty-four trillion, one hundred four billion, two hundred fifty-one million, forty-two thousand, four hundred".