40703969952000 has 1728 divisors, whose sum is σ = 165243538736640. Its totient is φ = 9569083392000.

The previous prime is 40703969951987. The next prime is 40703969952001. The reversal of 40703969952000 is 25996930704.

40703969952000 is a `hidden beast` number, since 40 + 7 + 0 + 396 + 9 + 9 + 5 + 200 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40703969952001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4656667630 + ... + 4656676370.

It is an arithmetic number, because the mean of its divisors is an integer number (95627047880).

Almost surely, 2^{40703969952000} is an apocalyptic number.

40703969952000 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 40703969952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82621769368320).

40703969952000 is an abundant number, since it is smaller than the sum of its proper divisors (124539568784640).

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

40703969952000 is a wasteful number, since it uses less digits than its factorization.

40703969952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 40703969952000 in words is "forty trillion, seven hundred three billion, nine hundred sixty-nine million, nine hundred fifty-two thousand".