46558027109440 has 1344 divisors, whose sum is σ = 148802565666816. Its totient is φ = 13702348800000.

The previous prime is 46558027109389. The next prime is 46558027109441. The reversal of 46558027109440 is 4490172085564.

It is a super-2 number, since 2×46558027109440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (46558027109441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39422545650 + ... + 39422546830.

Almost surely, 2^{46558027109440} is an apocalyptic number.

46558027109440 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 46558027109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74401282833408).

46558027109440 is an abundant number, since it is smaller than the sum of its proper divisors (102244538557376).

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

46558027109440 is a wasteful number, since it uses less digits than its factorization.

46558027109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 46558027109440 in words is "forty-six trillion, five hundred fifty-eight billion, twenty-seven million, one hundred nine thousand, four hundred forty".