10049246218440 has 288 divisors, whose sum is σ = 38660532051960. Its totient is φ = 2248782243840.

The previous prime is 10049246218393. The next prime is 10049246218469. The reversal of 10049246218440 is 4481264294001.

10049246218440 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 2 + 462 + 184 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9096268064004 + 952978154436 = 3016002^2 + 976206^2 .

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 71 ways as a sum of consecutive naturals, for example, 8306757 + ... + 9439316.

Almost surely, 2^{10049246218440} is an apocalyptic number.

10049246218440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10049246218440 is an abundant number, since it is smaller than the sum of its proper divisors (28611285833520).

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

10049246218440 is a wasteful number, since it uses less digits than its factorization.

10049246218440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17746125 (or 17746107 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10049246218440 in words is "ten trillion, forty-nine billion, two hundred forty-six million, two hundred eighteen thousand, four hundred forty".