461356663420400 has 240 divisors, whose sum is σ = 1211611108497408. Its totient is φ = 167428214400000.

The previous prime is 461356663420363. The next prime is 461356663420409. The reversal of 461356663420400 is 4024366653164.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461356663420409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4913595854 + ... + 4913689746.

Almost surely, 2^{461356663420400} is an apocalyptic number.

461356663420400 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 461356663420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605805554248704).

461356663420400 is an abundant number, since it is smaller than the sum of its proper divisors (750254445077008).

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

461356663420400 is a wasteful number, since it uses less digits than its factorization.

461356663420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96160 (or 96149 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 50.

The spelling of 461356663420400 in words is "four hundred sixty-one trillion, three hundred fifty-six billion, six hundred sixty-three million, four hundred twenty thousand, four hundred".