40817772000 has 144 divisors (see below), whose sum is σ = 144862400592. Its totient is φ = 10884729600.

The previous prime is 40817771989. The next prime is 40817772007. The reversal of 40817772000 is 27771804.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40817772000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40817772007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530914 + ... + 602913.

It is an arithmetic number, because the mean of its divisors is an integer number (1005988893).

Almost surely, 2^40817772000 is an apocalyptic number.

40817772000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40817772000 is an abundant number, since it is smaller than the sum of its proper divisors (104044628592).

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

40817772000 is a wasteful number, since it uses less digits than its factorization.

40817772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133858 (or 1133837 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 40817772000 in words is "forty billion, eight hundred seventeen million, seven hundred seventy-two thousand".