5141963534400 has 1512 divisors, whose sum is σ = 24309419097600. Its totient is φ = 1005568819200.

The previous prime is 5141963534371. The next prime is 5141963534419. The reversal of 5141963534400 is 44353691415.

5141963534400 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 9 + 635 + 3 + 4 + 4 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 207333201 + ... + 207357999.

Almost surely, 2^{5141963534400} is an apocalyptic number.

5141963534400 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 5141963534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154709548800).

5141963534400 is an abundant number, since it is smaller than the sum of its proper divisors (19167455563200).

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

5141963534400 is a wasteful number, since it uses less digits than its factorization.

5141963534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24873 (or 24844 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5141963534400 in words is "five trillion, one hundred forty-one billion, nine hundred sixty-three million, five hundred thirty-four thousand, four hundred".