4375400956416 has 2160 divisors, whose sum is σ = 17388693159552. Its totient is φ = 1031796817920.

The previous prime is 4375400956403. The next prime is 4375400956417. The reversal of 4375400956416 is 6146590045734.

It is a happy number.

4375400956416 is a `hidden beast` number, since 4 + 3 + 7 + 540 + 0 + 9 + 56 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4375400956417) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 141141966321 + ... + 141141966351.

Almost surely, 2^{4375400956416} is an apocalyptic number.

4375400956416 is a gapful number since it is divisible by the number (46) 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 4375400956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694346579776).

4375400956416 is an abundant number, since it is smaller than the sum of its proper divisors (13013292203136).

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

4375400956416 is a wasteful number, since it uses less digits than its factorization.

4375400956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4375400956416 in words is "four trillion, three hundred seventy-five billion, four hundred million, nine hundred fifty-six thousand, four hundred sixteen".