61400219931360 has 480 divisors, whose sum is σ = 219403330866720. Its totient is φ = 16168674373632.

The previous prime is 61400219931359. The next prime is 61400219931383. The reversal of 61400219931360 is 6313991200416.

61400219931360 is a `hidden beast` number, since 6 + 1 + 40 + 0 + 219 + 9 + 31 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×61400219931360² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 2569787574 + ... + 2569811466.

It is an arithmetic number, because the mean of its divisors is an integer number (457090272639).

Almost surely, 2^{61400219931360} is an apocalyptic number.

61400219931360 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 61400219931360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109701665433360).

61400219931360 is an abundant number, since it is smaller than the sum of its proper divisors (158003110935360).

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

61400219931360 is a wasteful number, since it uses less digits than its factorization.

61400219931360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26392 (or 26375 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 61400219931360 in words is "sixty-one trillion, four hundred billion, two hundred nineteen million, nine hundred thirty-one thousand, three hundred sixty".