46988726400 has 1152 divisors, whose sum is σ = 218443608000. Its totient is φ = 9754214400.

The previous prime is 46988726399. The next prime is 46988726413. The reversal of 46988726400 is 462788964.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46569096 + ... + 46570104.

Almost surely, 2^46988726400 is an apocalyptic number.

46988726400 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 46988726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109221804000).

46988726400 is an abundant number, since it is smaller than the sum of its proper divisors (171454881600).

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

46988726400 is a wasteful number, since it uses less digits than its factorization.

46988726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 46988726400 in words is "forty-six billion, nine hundred eighty-eight million, seven hundred twenty-six thousand, four hundred".