61032407040 has 896 divisors, whose sum is σ = 246295468800. Its totient is φ = 14202961920.

The previous prime is 61032407003. The next prime is 61032407041. The reversal of 61032407040 is 4070423016.

61032407040 is a `hidden beast` number, since 610 + 3 + 2 + 4 + 0 + 7 + 0 + 40 = 666.

It is a super-3 number, since 3×61032407040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61032406995 and 61032407013.

It is not an unprimeable number, because it can be changed into a prime (61032407041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352788394 + ... + 352788566.

Almost surely, 2^61032407040 is an apocalyptic number.

61032407040 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 61032407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123147734400).

61032407040 is an abundant number, since it is smaller than the sum of its proper divisors (185263061760).

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

61032407040 is a wasteful number, since it uses less digits than its factorization.

61032407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 61032407040 in words is "sixty-one billion, thirty-two million, four hundred seven thousand, forty".