40961700 has 180 divisors, whose sum is σ = 143363220. Its totient is φ = 10056960.

The previous prime is 40961681. The next prime is 40961731. The reversal of 40961700 is 716904.

40961700 is a `hidden beast` number, since 40 + 9 + 617 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8608356 + 32353344 = 2934^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105106 + ... + 105494.

Almost surely, 2^40961700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40961700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71681610).

40961700 is an abundant number, since it is smaller than the sum of its proper divisors (102401520).

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

40961700 is a wasteful number, since it uses less digits than its factorization.

40961700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40961700 is about 6400.1328111220. The cubic root of 40961700 is about 344.7143192701.

The spelling of 40961700 in words is "forty million, nine hundred sixty-one thousand, seven hundred".