6261405494400 has 3456 divisors, whose sum is σ = 29351467368000. Its totient is φ = 1312116019200.

The previous prime is 6261405494341. The next prime is 6261405494429. The reversal of 6261405494400 is 44945041626.

6261405494400 is a `hidden beast` number, since 6 + 2 + 61 + 4 + 0 + 549 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 201980822385 + ... + 201980822415.

Almost surely, 2^{6261405494400} is an apocalyptic number.

6261405494400 is a gapful number since it is divisible by the number (60) 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 6261405494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675733684000).

6261405494400 is an abundant number, since it is smaller than the sum of its proper divisors (23090061873600).

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

6261405494400 is an equidigital number, since it uses as much as digits as its factorization.

6261405494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6261405494400 in words is "six trillion, two hundred sixty-one billion, four hundred five million, four hundred ninety-four thousand, four hundred".