40672331700 has 1152 divisors, whose sum is σ = 173364903936. Its totient is φ = 7077888000.

The previous prime is 40672331663. The next prime is 40672331701. The reversal of 40672331700 is 713327604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40672331701) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158257972 + ... + 158258228.

It is an arithmetic number, because the mean of its divisors is an integer number (150490368).

Almost surely, 2^40672331700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40672331700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682451968).

40672331700 is an abundant number, since it is smaller than the sum of its proper divisors (132692572236).

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

40672331700 is a wasteful number, since it uses less digits than its factorization.

40672331700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 40672331700 in words is "forty billion, six hundred seventy-two million, three hundred thirty-one thousand, seven hundred".