61439815038240 has 120 divisors (see below), whose sum is σ = 216831347284860. Its totient is φ = 16383950673408.

The previous prime is 61439815038229. The next prime is 61439815038257. The reversal of 61439815038240 is 4283051893416.

It is a happy number.

61439815038240 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 98 + 1 + 503 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59836846343184 + 1602968695056 = 7735428^2 + 1266084^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2370350275 + ... + 2370376194.

Almost surely, 2^{61439815038240} is an apocalyptic number.

61439815038240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61439815038240 is an abundant number, since it is smaller than the sum of its proper divisors (155391532246620).

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

61439815038240 is a wasteful number, since it uses less digits than its factorization.

61439815038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740726496 (or 4740726479 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 61439815038240 in words is "sixty-one trillion, four hundred thirty-nine billion, eight hundred fifteen million, thirty-eight thousand, two hundred forty".