46401126408 has 384 divisors, whose sum is σ = 164276985600. Its totient is φ = 11482103808.

The previous prime is 46401126397. The next prime is 46401126413. The reversal of 46401126408 is 80462110464.

It is a happy number.

46401126408 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 1 + 1 + 2 + 640 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68946360 + ... + 68947032.

It is an arithmetic number, because the mean of its divisors is an integer number (427804650).

Almost surely, 2^46401126408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46401126408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82138492800).

46401126408 is an abundant number, since it is smaller than the sum of its proper divisors (117875859192).

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

46401126408 is a wasteful number, since it uses less digits than its factorization.

46401126408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 46401126408 in words is "forty-six billion, four hundred one million, one hundred twenty-six thousand, four hundred eight".