40237066038400 has 768 divisors, whose sum is σ = 126079230412800. Its totient is φ = 12325131878400.

The previous prime is 40237066038373. The next prime is 40237066038413. The reversal of 40237066038400 is 483066073204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3662237707 + ... + 3662248693.

It is an arithmetic number, because the mean of its divisors is an integer number (164165664600).

Almost surely, 2^{40237066038400} is an apocalyptic number.

40237066038400 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 40237066038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63039615206400).

40237066038400 is an abundant number, since it is smaller than the sum of its proper divisors (85842164374400).

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

40237066038400 is a wasteful number, since it uses less digits than its factorization.

40237066038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11285 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 40237066038400 in words is "forty trillion, two hundred thirty-seven billion, sixty-six million, thirty-eight thousand, four hundred".