74087015270040 has 512 divisors, whose sum is σ = 266601089664000. Its totient is φ = 18239211417600.

The previous prime is 74087015270033. The next prime is 74087015270077. The reversal of 74087015270040 is 4007251078047.

74087015270040 is a `hidden beast` number, since 7 + 4 + 0 + 87 + 0 + 1 + 527 + 0 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 737787435 + ... + 737887845.

It is an arithmetic number, because the mean of its divisors is an integer number (520705253250).

Almost surely, 2^{74087015270040} 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 74087015270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133300544832000).

74087015270040 is an abundant number, since it is smaller than the sum of its proper divisors (192514074393960).

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

74087015270040 is a wasteful number, since it uses less digits than its factorization.

74087015270040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101368 (or 101358 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 74087015270040 in words is "seventy-four trillion, eighty-seven billion, fifteen million, two hundred seventy thousand, forty".