40851749904000 has 3072 divisors, whose sum is σ = 174377515253760. Its totient is φ = 8272281600000.

The previous prime is 40851749903999. The next prime is 40851749904001. The reversal of 40851749904000 is 40994715804.

It is an interprime number because it is at equal distance from previous prime (40851749903999) and next prime (40851749904001).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (40851749904001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 123419183835 + ... + 123419184165.

It is an arithmetic number, because the mean of its divisors is an integer number (56763514080).

Almost surely, 2^{40851749904000} is an apocalyptic number.

40851749904000 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 40851749904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87188757626880).

40851749904000 is an abundant number, since it is smaller than the sum of its proper divisors (133525765349760).

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

40851749904000 is a wasteful number, since it uses less digits than its factorization.

40851749904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 40851749904000 in words is "forty trillion, eight hundred fifty-one billion, seven hundred forty-nine million, nine hundred four thousand".