4051331955000 has 480 divisors, whose sum is σ = 14967991209600. Its totient is φ = 981453600000.

The previous prime is 4051331954977. The next prime is 4051331955019. The reversal of 4051331955000 is 5591331504.

It is a happy number.

4051331955000 is a `hidden beast` number, since 4 + 0 + 5 + 133 + 19 + 5 + 500 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1341943491 + ... + 1341946509.

It is an arithmetic number, because the mean of its divisors is an integer number (31183315020).

Almost surely, 2^{4051331955000} is an apocalyptic number.

4051331955000 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 4051331955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483995604800).

4051331955000 is an abundant number, since it is smaller than the sum of its proper divisors (10916659254600).

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

4051331955000 is a wasteful number, since it uses less digits than its factorization.

4051331955000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 4051331955000 in words is "four trillion, fifty-one billion, three hundred thirty-one million, nine hundred fifty-five thousand".