61120914400 has 864 divisors, whose sum is σ = 199287744768. Its totient is φ = 18114969600.

The previous prime is 61120914353. The next prime is 61120914443. The reversal of 61120914400 is 441902116.

61120914400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 837272764 + ... + 837272836.

It is an arithmetic number, because the mean of its divisors is an integer number (230657112).

Almost surely, 2^61120914400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61120914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99643872384).

61120914400 is an abundant number, since it is smaller than the sum of its proper divisors (138166830368).

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

61120914400 is a wasteful number, since it uses less digits than its factorization.

61120914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 61120914400 in words is "sixty-one billion, one hundred twenty million, nine hundred fourteen thousand, four hundred".