5214084198400 has 936 divisors, whose sum is σ = 17375838406416. Its totient is φ = 1529295667200.

The previous prime is 5214084198391. The next prime is 5214084198559. The reversal of 5214084198400 is 48914804125.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 938288422 + ... + 938293978.

Almost surely, 2^{5214084198400} is an apocalyptic number.

5214084198400 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 5214084198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687919203208).

5214084198400 is an abundant number, since it is smaller than the sum of its proper divisors (12161754208016).

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

5214084198400 is a wasteful number, since it uses less digits than its factorization.

5214084198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 5214084198400 in words is "five trillion, two hundred fourteen billion, eighty-four million, one hundred ninety-eight thousand, four hundred".