40225551000 has 512 divisors, whose sum is σ = 136994457600. Its totient is φ = 9799680000.

The previous prime is 40225550993. The next prime is 40225551007. The reversal of 40225551000 is 15552204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40225550993) and next prime (40225551007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225551007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166910880 + ... + 166911120.

It is an arithmetic number, because the mean of its divisors is an integer number (267567300).

Almost surely, 2^40225551000 is an apocalyptic number.

40225551000 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 40225551000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68497228800).

40225551000 is an abundant number, since it is smaller than the sum of its proper divisors (96768906600).

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

40225551000 is a wasteful number, since it uses less digits than its factorization.

40225551000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 40225551000 in words is "forty billion, two hundred twenty-five million, five hundred fifty-one thousand".