4057099481520 has 480 divisors, whose sum is σ = 14206571346240. Its totient is φ = 1076029194240.

The previous prime is 4057099481489. The next prime is 4057099481551. The reversal of 4057099481520 is 251849907504.

It is a happy number.

4057099481520 is a `hidden beast` number, since 4 + 0 + 5 + 70 + 9 + 9 + 48 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4057099481489) and next prime (4057099481551).

It is a super-3 number, since 3×4057099481520³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020910776 + ... + 4020911784.

It is an arithmetic number, because the mean of its divisors is an integer number (29597023638).

Almost surely, 2^{4057099481520} is an apocalyptic number.

4057099481520 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 4057099481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103285673120).

4057099481520 is an abundant number, since it is smaller than the sum of its proper divisors (10149471864720).

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

4057099481520 is a wasteful number, since it uses less digits than its factorization.

4057099481520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 4057099481520 in words is "four trillion, fifty-seven billion, ninety-nine million, four hundred eighty-one thousand, five hundred twenty".