4114492672480 has 192 divisors, whose sum is σ = 11021391360000. Its totient is φ = 1443275919360.

The previous prime is 4114492672447. The next prime is 4114492672559. The reversal of 4114492672480 is 842762944114.

It is a super-2 number, since 2×4114492672480² (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 31 ways as a sum of consecutive naturals, for example, 1218396 + ... + 3116644.

It is an arithmetic number, because the mean of its divisors is an integer number (57403080000).

Almost surely, 2^{4114492672480} is an apocalyptic number.

4114492672480 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 4114492672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510695680000).

4114492672480 is an abundant number, since it is smaller than the sum of its proper divisors (6906898687520).

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

4114492672480 is a wasteful number, since it uses less digits than its factorization.

4114492672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898337 (or 1898329 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 4114492672480 in words is "four trillion, one hundred fourteen billion, four hundred ninety-two million, six hundred seventy-two thousand, four hundred eighty".