40155102000 has 800 divisors, whose sum is σ = 163188305280. Its totient is φ = 9443174400.

The previous prime is 40155101951. The next prime is 40155102011. The reversal of 40155102000 is 20155104.

40155102000 is a `hidden beast` number, since 401 + 55 + 10 + 200 + 0 = 666.

40155102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40155102000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 48437586 + ... + 48438414.

Almost surely, 2^40155102000 is an apocalyptic number.

40155102000 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 40155102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81594152640).

40155102000 is an abundant number, since it is smaller than the sum of its proper divisors (123033203280).

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

40155102000 is a wasteful number, since it uses less digits than its factorization.

40155102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 40155102000 its reverse (20155104), we get a palindrome (40175257104).

It can be divided in two parts, 4015 and 5102000, that added together give a palindrome (5106015).

The spelling of 40155102000 in words is "forty billion, one hundred fifty-five million, one hundred two thousand".