46153427390400 has 672 divisors, whose sum is σ = 170600155176960. Its totient is φ = 10822436352000.

The previous prime is 46153427390393. The next prime is 46153427390513. The reversal of 46153427390400 is 409372435164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46153427390400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4024885467 + ... + 4024896933.

Almost surely, 2^{46153427390400} is an apocalyptic number.

46153427390400 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 46153427390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85300077588480).

46153427390400 is an abundant number, since it is smaller than the sum of its proper divisors (124446727786560).

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

46153427390400 is a wasteful number, since it uses less digits than its factorization.

46153427390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13978 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 46153427390400 in words is "forty-six trillion, one hundred fifty-three billion, four hundred twenty-seven million, three hundred ninety thousand, four hundred".