40607559507312 has 480 divisors, whose sum is σ = 136175443436032. Its totient is φ = 11474384044032.

The previous prime is 40607559507271. The next prime is 40607559507377. The reversal of 40607559507312 is 21370595570604.

It is a happy number.

40607559507312 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 7 + 559 + 5 + 0 + 73 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4374395823 + ... + 4374405105.

Almost surely, 2^{40607559507312} is an apocalyptic number.

40607559507312 is a gapful number since it is divisible by the number (42) 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 40607559507312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68087721718016).

40607559507312 is an abundant number, since it is smaller than the sum of its proper divisors (95567883928720).

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

40607559507312 is a wasteful number, since it uses less digits than its factorization.

40607559507312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 40607559507312 in words is "forty trillion, six hundred seven billion, five hundred fifty-nine million, five hundred seven thousand, three hundred twelve".