40966781440 has 160 divisors (see below), whose sum is σ = 107061647616. Its totient is φ = 14942945280.

The previous prime is 40966781437. The next prime is 40966781477. The reversal of 40966781440 is 4418766904.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754825 + ... + 2769655.

Almost surely, 2^40966781440 is an apocalyptic number.

40966781440 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 40966781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53530823808).

40966781440 is an abundant number, since it is smaller than the sum of its proper divisors (66094866176).

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

40966781440 is a wasteful number, since it uses less digits than its factorization.

40966781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14950 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 40966781440 in words is "forty billion, nine hundred sixty-six million, seven hundred eighty-one thousand, four hundred forty".