61440114924720 has 960 divisors, whose sum is σ = 252814355988480. Its totient is φ = 13075744204800.

The previous prime is 61440114924709. The next prime is 61440114924757. The reversal of 61440114924720 is 2742941104416.

61440114924720 is a `hidden beast` number, since 6 + 1 + 440 + 1 + 149 + 2 + 47 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 433182615 + ... + 433324425.

It is an arithmetic number, because the mean of its divisors is an integer number (263348287488).

Almost surely, 2^{61440114924720} is an apocalyptic number.

61440114924720 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 61440114924720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126407177994240).

61440114924720 is an abundant number, since it is smaller than the sum of its proper divisors (191374241063760).

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

61440114924720 is a wasteful number, since it uses less digits than its factorization.

61440114924720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141974 (or 141965 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 61440114924720 in words is "sixty-one trillion, four hundred forty billion, one hundred fourteen million, nine hundred twenty-four thousand, seven hundred twenty".