46017901440 has 768 divisors, whose sum is σ = 193113123840. Its totient is φ = 10251878400.

The previous prime is 46017901387. The next prime is 46017901441. The reversal of 46017901440 is 4410971064.

46017901440 is a `hidden beast` number, since 4 + 601 + 7 + 9 + 0 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46017901395 and 46017901404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46017901441) 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 95 ways as a sum of consecutive naturals, for example, 44633725 + ... + 44634755.

It is an arithmetic number, because the mean of its divisors is an integer number (251449380).

Almost surely, 2^46017901440 is an apocalyptic number.

46017901440 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 46017901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96556561920).

46017901440 is an abundant number, since it is smaller than the sum of its proper divisors (147095222400).

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

46017901440 is a wasteful number, since it uses less digits than its factorization.

46017901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 46017901440 in words is "forty-six billion, seventeen million, nine hundred one thousand, four hundred forty".