1249204105440 has 192 divisors, whose sum is σ = 4490382899520. Its totient is φ = 324117780480.

The previous prime is 1249204105433. The next prime is 1249204105451. The reversal of 1249204105440 is 445014029421.

1249204105440 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 204 + 1 + 0 + 5 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1249204105395 and 1249204105404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747831 + ... + 4067510.

It is an arithmetic number, because the mean of its divisors is an integer number (23387410935).

Almost surely, 2^{1249204105440} is an apocalyptic number.

1249204105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1249204105440 is an abundant number, since it is smaller than the sum of its proper divisors (3241178794080).

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

1249204105440 is a wasteful number, since it uses less digits than its factorization.

1249204105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815402 (or 7815388 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1249204105440 in words is "one trillion, two hundred forty-nine billion, two hundred four million, one hundred five thousand, four hundred forty".