40966041600 has 780 divisors, whose sum is σ = 165911981400. Its totient is φ = 9909043200.

The previous prime is 40966041587. The next prime is 40966041617. The reversal of 40966041600 is 614066904.

40966041600 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 6 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 91238176 + ... + 91238624.

Almost surely, 2^40966041600 is an apocalyptic number.

40966041600 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 40966041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82955990700).

40966041600 is an abundant number, since it is smaller than the sum of its proper divisors (124945939800).

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

40966041600 is a wasteful number, since it uses less digits than its factorization.

40966041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40966041600 in words is "forty billion, nine hundred sixty-six million, forty-one thousand, six hundred".