40270680450000 has 4320 divisors, whose sum is σ = 198888927793920. Its totient is φ = 7388409600000.

The previous prime is 40270680449981. The next prime is 40270680450019. The reversal of 40270680450000 is 5408607204.

40270680450000 is a `hidden beast` number, since 4 + 0 + 2 + 70 + 6 + 80 + 4 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40270680449981) and next prime (40270680450019).

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 863 ways as a sum of consecutive naturals, for example, 1750899149989 + ... + 1750899150011.

It is an arithmetic number, because the mean of its divisors is an integer number (46039103656).

Almost surely, 2^{40270680450000} is an apocalyptic number.

40270680450000 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 40270680450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99444463896960).

40270680450000 is an abundant number, since it is smaller than the sum of its proper divisors (158618247343920).

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

40270680450000 is a wasteful number, since it uses less digits than its factorization.

40270680450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40270680450000 in words is "forty trillion, two hundred seventy billion, six hundred eighty million, four hundred fifty thousand".