4106916902400 has 1920 divisors, whose sum is σ = 16276934209536. Its totient is φ = 903138508800.

The previous prime is 4106916902359. The next prime is 4106916902423. The reversal of 4106916902400 is 42096196014.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4106916902400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17626252684 + ... + 17626252916.

Almost surely, 2^{4106916902400} is an apocalyptic number.

4106916902400 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 4106916902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138467104768).

4106916902400 is an abundant number, since it is smaller than the sum of its proper divisors (12170017307136).

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

4106916902400 is a wasteful number, since it uses less digits than its factorization.

4106916902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 4106916902400 in words is "four trillion, one hundred six billion, nine hundred sixteen million, nine hundred two thousand, four hundred".