46211732400 has 240 divisors, whose sum is σ = 156969801504. Its totient is φ = 11581194240.

The previous prime is 46211732381. The next prime is 46211732401. The reversal of 46211732400 is 423711264.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46211732400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46211732401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19440012 + ... + 19442388.

Almost surely, 2^46211732400 is an apocalyptic number.

46211732400 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 46211732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78484900752).

46211732400 is an abundant number, since it is smaller than the sum of its proper divisors (110758069104).

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

46211732400 is a wasteful number, since it uses less digits than its factorization.

46211732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 46211732400 in words is "forty-six billion, two hundred eleven million, seven hundred thirty-two thousand, four hundred".