4616101214400 has 672 divisors, whose sum is σ = 17298070852608. Its totient is φ = 1069030195200.

The previous prime is 4616101214399. The next prime is 4616101214449. The reversal of 4616101214400 is 44121016164.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87520837 + ... + 87573563.

It is an arithmetic number, because the mean of its divisors is an integer number (25741176864).

Almost surely, 2^{4616101214400} is an apocalyptic number.

4616101214400 is a gapful number since it is divisible by the number (40) 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 4616101214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649035426304).

4616101214400 is an abundant number, since it is smaller than the sum of its proper divisors (12681969638208).

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

4616101214400 is a wasteful number, since it uses less digits than its factorization.

4616101214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52849 (or 52834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 4616101214400 in words is "four trillion, six hundred sixteen billion, one hundred one million, two hundred fourteen thousand, four hundred".