46091735078400 has 3600 divisors, whose sum is σ = 201244094084880. Its totient is φ = 10379280384000.

The previous prime is 46091735078377. The next prime is 46091735078429. The reversal of 46091735078400 is 487053719064.

46091735078400 is a `hidden beast` number, since 4 + 6 + 0 + 91 + 7 + 3 + 507 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 359 ways as a sum of consecutive naturals, for example, 145399795042 + ... + 145399795358.

Almost surely, 2^{46091735078400} is an apocalyptic number.

46091735078400 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 46091735078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100622047042440).

46091735078400 is an abundant number, since it is smaller than the sum of its proper divisors (155152359006480).

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

46091735078400 is a wasteful number, since it uses less digits than its factorization.

46091735078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 46091735078400 in words is "forty-six trillion, ninety-one billion, seven hundred thirty-five million, seventy-eight thousand, four hundred".