40694504760 has 1536 divisors, whose sum is σ = 186800947200. Its totient is φ = 7659048960.

The previous prime is 40694504743. The next prime is 40694504761. The reversal of 40694504760 is 6740549604.

40694504760 is a `hidden beast` number, since 40 + 6 + 94 + 50 + 476 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40694504761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1099851462 + ... + 1099851498.

It is an arithmetic number, because the mean of its divisors is an integer number (121615200).

Almost surely, 2^40694504760 is an apocalyptic number.

40694504760 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 40694504760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400473600).

40694504760 is an abundant number, since it is smaller than the sum of its proper divisors (146106442440).

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

40694504760 is a wasteful number, since it uses less digits than its factorization.

40694504760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40694504760 in words is "forty billion, six hundred ninety-four million, five hundred four thousand, seven hundred sixty".