40675400640 has 1344 divisors, whose sum is σ = 182833182720. Its totient is φ = 8424953856.

The previous prime is 40675400627. The next prime is 40675400651. The reversal of 40675400640 is 4600457604.

40675400640 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 5 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 40675400595 and 40675400604.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1768495669 + ... + 1768495691.

Almost surely, 2^40675400640 is an apocalyptic number.

40675400640 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 40675400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91416591360).

40675400640 is an abundant number, since it is smaller than the sum of its proper divisors (142157782080).

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

40675400640 is an equidigital number, since it uses as much as digits as its factorization.

40675400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 40675400640 in words is "forty billion, six hundred seventy-five million, four hundred thousand, six hundred forty".