61041911040 has 1008 divisors, whose sum is σ = 252541759680. Its totient is φ = 13974405120.

The previous prime is 61041911009. The next prime is 61041911053. The reversal of 61041911040 is 4011914016.

61041911040 is a `hidden beast` number, since 610 + 4 + 1 + 9 + 1 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×61041911040² (a number of 22 digits) contains 22 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 = 61041910995 and 61041911013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195021924 + ... + 195022236.

It is an arithmetic number, because the mean of its divisors is an integer number (250537460).

Almost surely, 2^61041911040 is an apocalyptic number.

61041911040 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 61041911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126270879840).

61041911040 is an abundant number, since it is smaller than the sum of its proper divisors (191499848640).

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

61041911040 is a wasteful number, since it uses less digits than its factorization.

61041911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 61041911040 in words is "sixty-one billion, forty-one million, nine hundred eleven thousand, forty".