40376128320 has 1120 divisors, whose sum is σ = 168247259136. Its totient is φ = 9093427200.

The previous prime is 40376128271. The next prime is 40376128349. The reversal of 40376128320 is 2382167304.

It is a happy number.

40376128320 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 612 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×40376128320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 308214655 + ... + 308214785.

Almost surely, 2^40376128320 is an apocalyptic number.

40376128320 is a gapful number since it is divisible by the number (40) 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 40376128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84123629568).

40376128320 is an abundant number, since it is smaller than the sum of its proper divisors (127871130816).

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

40376128320 is a wasteful number, since it uses less digits than its factorization.

40376128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40376128320 in words is "forty billion, three hundred seventy-six million, one hundred twenty-eight thousand, three hundred twenty".