40851214848000 has 2496 divisors, whose sum is σ = 160744692326400. Its totient is φ = 9953338982400.

The previous prime is 40851214847969. The next prime is 40851214848053. The reversal of 40851214848000 is 84841215804.

40851214848000 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 121 + 48 + 480 + 0 + 0 = 666.

It is a super-3 number, since 3×40851214848000³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

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, 293893631931 + ... + 293893632069.

It is an arithmetic number, because the mean of its divisors is an integer number (64400918400).

Almost surely, 2^{40851214848000} is an apocalyptic number.

40851214848000 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 40851214848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80372346163200).

40851214848000 is an abundant number, since it is smaller than the sum of its proper divisors (119893477478400).

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

40851214848000 is a wasteful number, since it uses less digits than its factorization.

40851214848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 40851214848000 in words is "forty trillion, eight hundred fifty-one billion, two hundred fourteen million, eight hundred forty-eight thousand".