40388146050 has 384 divisors, whose sum is σ = 122877849600. Its totient is φ = 8580971520.

The previous prime is 40388146013. The next prime is 40388146087. The reversal of 40388146050 is 5064188304.

It is an interprime number because it is at equal distance from previous prime (40388146013) and next prime (40388146087).

It is a super-2 number, since 2×40388146050² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176367336 + ... + 176367564.

It is an arithmetic number, because the mean of its divisors is an integer number (319994400).

Almost surely, 2^40388146050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40388146050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61438924800).

40388146050 is an abundant number, since it is smaller than the sum of its proper divisors (82489703550).

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

40388146050 is a wasteful number, since it uses less digits than its factorization.

40388146050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 40388146050 in words is "forty billion, three hundred eighty-eight million, one hundred forty-six thousand, fifty".