4145492977920 has 2304 divisors, whose sum is σ = 17940462059520. Its totient is φ = 886908911616.

The previous prime is 4145492977823. The next prime is 4145492977931. The reversal of 4145492977920 is 297792945414.

4145492977920 is a `hidden beast` number, since 4 + 1 + 454 + 9 + 2 + 97 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×4145492977920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40247504589 + ... + 40247504691.

It is an arithmetic number, because the mean of its divisors is an integer number (7786658880).

Almost surely, 2^{4145492977920} is an apocalyptic number.

4145492977920 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 4145492977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970231029760).

4145492977920 is an abundant number, since it is smaller than the sum of its proper divisors (13794969081600).

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

4145492977920 is a wasteful number, since it uses less digits than its factorization.

4145492977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4145492977920 in words is "four trillion, one hundred forty-five billion, four hundred ninety-two million, nine hundred seventy-seven thousand, nine hundred twenty".