4346913392640 has 2112 divisors, whose sum is σ = 19499097945600. Its totient is φ = 905541451776.

The previous prime is 4346913392621. The next prime is 4346913392681. The reversal of 4346913392640 is 462933196434.

4346913392640 is a `hidden beast` number, since 4 + 3 + 46 + 9 + 1 + 339 + 264 + 0 = 666.

It is a super-2 number, since 2×4346913392640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 55024220121 + ... + 55024220199.

Almost surely, 2^{4346913392640} is an apocalyptic number.

4346913392640 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 4346913392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749548972800).

4346913392640 is an abundant number, since it is smaller than the sum of its proper divisors (15152184552960).

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

4346913392640 is an frugal number, since it uses more digits than its factorization.

4346913392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 4346913392640 in words is "four trillion, three hundred forty-six billion, nine hundred thirteen million, three hundred ninety-two thousand, six hundred forty".