40263552120 has 128 divisors (see below), whose sum is σ = 132188682240. Its totient is φ = 9729968640.

The previous prime is 40263552101. The next prime is 40263552151. The reversal of 40263552120 is 2125536204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 370329 + ... + 466551.

It is an arithmetic number, because the mean of its divisors is an integer number (1032724080).

Almost surely, 2^40263552120 is an apocalyptic number.

40263552120 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 40263552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66094341120).

40263552120 is an abundant number, since it is smaller than the sum of its proper divisors (91925130120).

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

40263552120 is a wasteful number, since it uses less digits than its factorization.

40263552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96565 (or 96561 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40263552120 in words is "forty billion, two hundred sixty-three million, five hundred fifty-two thousand, one hundred twenty".