46341482342400 has 2592 divisors, whose sum is σ = 198144148587840. Its totient is φ = 10317791232000.

The previous prime is 46341482342387. The next prime is 46341482342413. The reversal of 46341482342400 is 424328414364.

46341482342400 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 1 + 4 + 8 + 234 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (46341482342387) and next prime (46341482342413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 219627878295 + ... + 219627878505.

It is an arithmetic number, because the mean of its divisors is an integer number (76444501770).

Almost surely, 2^{46341482342400} is an apocalyptic number.

46341482342400 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 46341482342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99072074293920).

46341482342400 is an abundant number, since it is smaller than the sum of its proper divisors (151802666245440).

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

46341482342400 is a wasteful number, since it uses less digits than its factorization.

46341482342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 46341482342400 in words is "forty-six trillion, three hundred forty-one billion, four hundred eighty-two million, three hundred forty-two thousand, four hundred".