40452874640 has 80 divisors (see below), whose sum is σ = 97211444736. Its totient is φ = 15639091200.

The previous prime is 40452874621. The next prime is 40452874681. The reversal of 40452874640 is 4647825404.

It is a Cunningham number, because it is equal to 201129²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40452874591 and 40452874600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001224 + ... + 2021336.

Almost surely, 2^40452874640 is an apocalyptic number.

40452874640 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 40452874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48605722368).

40452874640 is an abundant number, since it is smaller than the sum of its proper divisors (56758570096).

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

40452874640 is a wasteful number, since it uses less digits than its factorization.

40452874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20968 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 40452874640 in words is "forty billion, four hundred fifty-two million, eight hundred seventy-four thousand, six hundred forty".