4118429552640 has 832 divisors, whose sum is σ = 15545390918400. Its totient is φ = 921144655872.

The previous prime is 4118429552639. The next prime is 4118429552701. The reversal of 4118429552640 is 462559248114.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×4118429552640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393763731 + ... + 393774189.

Almost surely, 2^{4118429552640} is an apocalyptic number.

4118429552640 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 4118429552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772695459200).

4118429552640 is an abundant number, since it is smaller than the sum of its proper divisors (11426961365760).

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

4118429552640 is a wasteful number, since it uses less digits than its factorization.

4118429552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10550 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 4118429552640 in words is "four trillion, one hundred eighteen billion, four hundred twenty-nine million, five hundred fifty-two thousand, six hundred forty".