40155107328 has 312 divisors, whose sum is σ = 134785329536. Its totient is φ = 11280384000.

The previous prime is 40155107287. The next prime is 40155107413. The reversal of 40155107328 is 82370155104.

40155107328 is a `hidden beast` number, since 40 + 15 + 510 + 73 + 28 = 666.

It is a super-2 number, since 2×40155107328² (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 junction number, because it is equal to n+sod(n) for n = 40155107292 and 40155107301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15739653 + ... + 15742203.

Almost surely, 2^40155107328 is an apocalyptic number.

40155107328 is a gapful number since it is divisible by the number (48) 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 40155107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392664768).

40155107328 is an abundant number, since it is smaller than the sum of its proper divisors (94630222208).

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

40155107328 is a wasteful number, since it uses less digits than its factorization.

40155107328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 40155107328 in words is "forty billion, one hundred fifty-five million, one hundred seven thousand, three hundred twenty-eight".