40966611840 has 1152 divisors, whose sum is σ = 184879618560. Its totient is φ = 8485171200.

The previous prime is 40966611821. The next prime is 40966611857. The reversal of 40966611840 is 4811666904.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131725285 + ... + 131725595.

It is an arithmetic number, because the mean of its divisors is an integer number (160485780).

Almost surely, 2^40966611840 is an apocalyptic number.

40966611840 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 40966611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92439809280).

40966611840 is an abundant number, since it is smaller than the sum of its proper divisors (143913006720).

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

40966611840 is a wasteful number, since it uses less digits than its factorization.

40966611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40966611840 in words is "forty billion, nine hundred sixty-six million, six hundred eleven thousand, eight hundred forty".