40157778540 has 192 divisors, whose sum is σ = 125504225280. Its totient is φ = 9510562560.

The previous prime is 40157778517. The next prime is 40157778547. The reversal of 40157778540 is 4587775104.

It is a super-2 number, since 2×40157778540² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40157778540.

It is not an unprimeable number, because it can be changed into a prime (40157778547) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26025009 + ... + 26026551.

It is an arithmetic number, because the mean of its divisors is an integer number (653667840).

Almost surely, 2^40157778540 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 40157778540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62752112640).

40157778540 is an abundant number, since it is smaller than the sum of its proper divisors (85346446740).

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

40157778540 is a wasteful number, since it uses less digits than its factorization.

40157778540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 40157778540 in words is "forty billion, one hundred fifty-seven million, seven hundred seventy-eight thousand, five hundred forty".