5034311300400 has 240 divisors, whose sum is σ = 16183981492224. Its totient is φ = 1337709219840.

The previous prime is 5034311300353. The next prime is 5034311300401. The reversal of 5034311300400 is 40031134305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5034311300401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070444449 + ... + 1070449151.

Almost surely, 2^{5034311300400} is an apocalyptic number.

5034311300400 is a gapful number since it is divisible by the number (50) 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 5034311300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091990746112).

5034311300400 is an abundant number, since it is smaller than the sum of its proper divisors (11149670191824).

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

5034311300400 is a wasteful number, since it uses less digits than its factorization.

5034311300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 5034311300400 its reverse (40031134305), we get a palindrome (5074342434705).

The spelling of 5034311300400 in words is "five trillion, thirty-four billion, three hundred eleven million, three hundred thousand, four hundred".