40351288320000 has 4480 divisors, whose sum is σ = 186706434816000. Its totient is φ = 8583708672000.

The previous prime is 40351288319987. The next prime is 40351288320011. The reversal of 40351288320000 is 2388215304.

40351288320000 is a `hidden beast` number, since 4 + 0 + 3 + 51 + 288 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1090575359982 + ... + 1090575360018.

Almost surely, 2^{40351288320000} is an apocalyptic number.

40351288320000 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 40351288320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93353217408000).

40351288320000 is an abundant number, since it is smaller than the sum of its proper divisors (146355146496000).

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

40351288320000 is an frugal number, since it uses more digits than its factorization.

40351288320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40351288320000 in words is "forty trillion, three hundred fifty-one billion, two hundred eighty-eight million, three hundred twenty thousand".