61139089440 has 1152 divisors, whose sum is σ = 264565647360. Its totient is φ = 13047091200.

The previous prime is 61139089433. The next prime is 61139089499. The reversal of 61139089440 is 4498093116.

61139089440 is a `hidden beast` number, since 6 + 113 + 90 + 8 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184710075 + ... + 184710405.

It is an arithmetic number, because the mean of its divisors is an integer number (229657680).

Almost surely, 2^61139089440 is an apocalyptic number.

61139089440 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 61139089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132282823680).

61139089440 is an abundant number, since it is smaller than the sum of its proper divisors (203426557920).

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

61139089440 is a wasteful number, since it uses less digits than its factorization.

61139089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61139089440 in words is "sixty-one billion, one hundred thirty-nine million, eighty-nine thousand, four hundred forty".