61995407040 has 1344 divisors, whose sum is σ = 277532835840. Its totient is φ = 12371927040.

The previous prime is 61995407039. The next prime is 61995407069. The reversal of 61995407040 is 4070459916.

61995407040 is a `hidden beast` number, since 61 + 9 + 9 + 540 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 273107407 + ... + 273107633.

Almost surely, 2^61995407040 is an apocalyptic number.

61995407040 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 61995407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138766417920).

61995407040 is an abundant number, since it is smaller than the sum of its proper divisors (215537428800).

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

61995407040 is a wasteful number, since it uses less digits than its factorization.

61995407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 61995407040 in words is "sixty-one billion, nine hundred ninety-five million, four hundred seven thousand, forty".