40355295120 has 400 divisors, whose sum is σ = 160526475648. Its totient is φ = 9204295680.

The previous prime is 40355295067. The next prime is 40355295133. The reversal of 40355295120 is 2159255304.

It is a happy number.

40355295120 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 529 + 5 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36786412 + ... + 36787508.

Almost surely, 2^40355295120 is an apocalyptic number.

40355295120 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 40355295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80263237824).

40355295120 is an abundant number, since it is smaller than the sum of its proper divisors (120171180528).

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

40355295120 is a wasteful number, since it uses less digits than its factorization.

40355295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 40355295120 in words is "forty billion, three hundred fifty-five million, two hundred ninety-five thousand, one hundred twenty".