40961909520 has 640 divisors, whose sum is σ = 167577845760. Its totient is φ = 8999424000.

The previous prime is 40961909419. The next prime is 40961909533. The reversal of 40961909520 is 2590916904.

40961909520 is a `hidden beast` number, since 4 + 0 + 9 + 619 + 0 + 9 + 5 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 131710165 + ... + 131710475.

It is an arithmetic number, because the mean of its divisors is an integer number (261840384).

Almost surely, 2^40961909520 is an apocalyptic number.

40961909520 is a gapful number since it is divisible by the number (40) 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 40961909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83788922880).

40961909520 is an abundant number, since it is smaller than the sum of its proper divisors (126615936240).

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

40961909520 is a wasteful number, since it uses less digits than its factorization.

40961909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 40961909520 in words is "forty billion, nine hundred sixty-one million, nine hundred nine thousand, five hundred twenty".