40742814672000 has 1536 divisors, whose sum is σ = 173786841446400. Its totient is φ = 9292606156800.

The previous prime is 40742814671971. The next prime is 40742814672023. The reversal of 40742814672000 is 27641824704.

40742814672000 is a `hidden beast` number, since 4 + 0 + 7 + 428 + 14 + 6 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15322606671 + ... + 15322609329.

It is an arithmetic number, because the mean of its divisors is an integer number (113142474900).

Almost surely, 2^{40742814672000} is an apocalyptic number.

40742814672000 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 40742814672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86893420723200).

40742814672000 is an abundant number, since it is smaller than the sum of its proper divisors (133044026774400).

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

40742814672000 is an equidigital number, since it uses as much as digits as its factorization.

40742814672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 40742814672000 in words is "forty trillion, seven hundred forty-two billion, eight hundred fourteen million, six hundred seventy-two thousand".