61240888946040 has 512 divisors, whose sum is σ = 207472752414720. Its totient is φ = 14378905468928.

The previous prime is 61240888945981. The next prime is 61240888946051. The reversal of 61240888946040 is 4064988804216.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788264077 + ... + 788341763.

It is an arithmetic number, because the mean of its divisors is an integer number (405220219560).

Almost surely, 2^{61240888946040} is an apocalyptic number.

61240888946040 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 61240888946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103736376207360).

61240888946040 is an abundant number, since it is smaller than the sum of its proper divisors (146231863468680).

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

61240888946040 is a wasteful number, since it uses less digits than its factorization.

61240888946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78111 (or 78107 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 61240888946040 in words is "sixty-one trillion, two hundred forty billion, eight hundred eighty-eight million, nine hundred forty-six thousand, forty".