40400354020 has 96 divisors (see below), whose sum is σ = 93935159136. Its totient is φ = 14498611200.

The previous prime is 40400353991. The next prime is 40400354039. The reversal of 40400354020 is 2045300404.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 722104384 + 39678249636 = 26872^2 + 199194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40400353982 and 40400354000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13283700 + ... + 13286740.

It is an arithmetic number, because the mean of its divisors is an integer number (978491241).

Almost surely, 2^40400354020 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 40400354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46967579568).

40400354020 is an abundant number, since it is smaller than the sum of its proper divisors (53534805116).

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

40400354020 is a wasteful number, since it uses less digits than its factorization.

40400354020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 40400354020 its reverse (2045300404), we get a palindrome (42445654424).

The spelling of 40400354020 in words is "forty billion, four hundred million, three hundred fifty-four thousand, twenty".