40155100333400 has 192 divisors, whose sum is σ = 101131447173120. Its totient is φ = 14739700953600.

The previous prime is 40155100333399. The next prime is 40155100333457. The reversal of 40155100333400 is 433300155104.

It is a super-2 number, since 2×40155100333400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825821489 + ... + 825870111.

It is an arithmetic number, because the mean of its divisors is an integer number (526726287360).

Almost surely, 2^{40155100333400} is an apocalyptic number.

40155100333400 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 40155100333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50565723586560).

40155100333400 is an abundant number, since it is smaller than the sum of its proper divisors (60976346839720).

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

40155100333400 is a wasteful number, since it uses less digits than its factorization.

40155100333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50506 (or 50497 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 40155100333400 its reverse (433300155104), we get a palindrome (40588400488504).

The spelling of 40155100333400 in words is "forty trillion, one hundred fifty-five billion, one hundred million, three hundred thirty-three thousand, four hundred".