4140051686400 has 2112 divisors, whose sum is σ = 16964450205696. Its totient is φ = 870580224000.

The previous prime is 4140051686399. The next prime is 4140051686429. The reversal of 4140051686400 is 46861500414.

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, 49880140759 + ... + 49880140841.

Almost surely, 2^{4140051686400} is an apocalyptic number.

4140051686400 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 4140051686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482225102848).

4140051686400 is an abundant number, since it is smaller than the sum of its proper divisors (12824398519296).

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

4140051686400 is a wasteful number, since it uses less digits than its factorization.

4140051686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 4140051686400 in words is "four trillion, one hundred forty billion, fifty-one million, six hundred eighty-six thousand, four hundred".