6149566405440 has 896 divisors, whose sum is σ = 24371203276800. Its totient is φ = 1450591027200.

The previous prime is 6149566405429. The next prime is 6149566405487. The reversal of 6149566405440 is 445046659416.

6149566405440 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 56 + 6 + 40 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354412765 + ... + 354430115.

Almost surely, 2^{6149566405440} is an apocalyptic number.

6149566405440 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 6149566405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185601638400).

6149566405440 is an abundant number, since it is smaller than the sum of its proper divisors (18221636871360).

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

6149566405440 is a wasteful number, since it uses less digits than its factorization.

6149566405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17540 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6149566405440 in words is "six trillion, one hundred forty-nine billion, five hundred sixty-six million, four hundred five thousand, four hundred forty".