40003736960 has 512 divisors, whose sum is σ = 115535808000. Its totient is φ = 13085245440.

The previous prime is 40003736957. The next prime is 40003736977. The reversal of 40003736960 is 6963730004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291998012 + ... + 291998148.

It is an arithmetic number, because the mean of its divisors is an integer number (225655875).

Almost surely, 2^40003736960 is an apocalyptic number.

40003736960 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 40003736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57767904000).

40003736960 is an abundant number, since it is smaller than the sum of its proper divisors (75532071040).

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

40003736960 is a wasteful number, since it uses less digits than its factorization.

40003736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 40003736960 in words is "forty billion, three million, seven hundred thirty-six thousand, nine hundred sixty".