104311541042400 has 288 divisors, whose sum is σ = 344408221963008. Its totient is φ = 27417303961600.

The previous prime is 104311541042399. The next prime is 104311541042411. The reversal of 104311541042400 is 4240145113401.

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 47 ways as a sum of consecutive naturals, for example, 653063347 + ... + 653223053.

It is an arithmetic number, because the mean of its divisors is an integer number (1195861881816).

Almost surely, 2^{104311541042400} is an apocalyptic number.

104311541042400 is a gapful number since it is divisible by the number (10) 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 104311541042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172204110981504).

104311541042400 is an abundant number, since it is smaller than the sum of its proper divisors (240096680920608).

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

104311541042400 is a wasteful number, since it uses less digits than its factorization.

104311541042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163634 (or 163621 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 104311541042400 its reverse (4240145113401), we get a palindrome (108551686155801).

The spelling of 104311541042400 in words is "one hundred four trillion, three hundred eleven billion, five hundred forty-one million, forty-two thousand, four hundred".