40555658829120 has 224 divisors, whose sum is σ = 129126154752000. Its totient is φ = 10784454819840.

The previous prime is 40555658829071. The next prime is 40555658829137. The reversal of 40555658829120 is 2192885655504.

It is a super-2 number, since 2×40555658829120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846203756 + ... + 2846218004.

It is an arithmetic number, because the mean of its divisors is an integer number (576456048000).

Almost surely, 2^{40555658829120} is an apocalyptic number.

40555658829120 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 40555658829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64563077376000).

40555658829120 is an abundant number, since it is smaller than the sum of its proper divisors (88570495922880).

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

40555658829120 is a wasteful number, since it uses less digits than its factorization.

40555658829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22393 (or 22383 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 60.

The spelling of 40555658829120 in words is "forty trillion, five hundred fifty-five billion, six hundred fifty-eight million, eight hundred twenty-nine thousand, one hundred twenty".