5461433402400 has 576 divisors, whose sum is σ = 19987026998400. Its totient is φ = 1439139778560.

The previous prime is 5461433402387. The next prime is 5461433402417. The reversal of 5461433402400 is 42043341645.

5461433402400 is a `hidden beast` number, since 5 + 4 + 614 + 3 + 34 + 0 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934693879 + ... + 934699721.

It is an arithmetic number, because the mean of its divisors is an integer number (34699699650).

Almost surely, 2^{5461433402400} is an apocalyptic number.

5461433402400 is a gapful number since it is divisible by the number (50) 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 5461433402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993513499200).

5461433402400 is an abundant number, since it is smaller than the sum of its proper divisors (14525593596000).

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

5461433402400 is a wasteful number, since it uses less digits than its factorization.

5461433402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 5461433402400 in words is "five trillion, four hundred sixty-one billion, four hundred thirty-three million, four hundred two thousand, four hundred".