40008706291350 has 288 divisors, whose sum is σ = 108666865232640. Its totient is φ = 10552976352000.

The previous prime is 40008706291349. The next prime is 40008706291387. The reversal of 40008706291350 is 5319260780004.

40008706291350 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 8 + 7 + 0 + 6 + 291 + 350 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40008706291296 and 40008706291305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14304148152 + ... + 14304150948.

It is an arithmetic number, because the mean of its divisors is an integer number (377315504280).

It is a 1-persistent number, because it is pandigital, but 2⋅40008706291350 = 80017412582700 is not.

Almost surely, 2^{40008706291350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40008706291350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54333432616320).

40008706291350 is an abundant number, since it is smaller than the sum of its proper divisors (68658158941290).

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

40008706291350 is a wasteful number, since it uses less digits than its factorization.

40008706291350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40008706291350 in words is "forty trillion, eight billion, seven hundred six million, two hundred ninety-one thousand, three hundred fifty".