4007145553920 has 720 divisors, whose sum is σ = 14242493734560. Its totient is φ = 1041865113600.

The previous prime is 4007145553909. The next prime is 4007145553949. The reversal of 4007145553920 is 293555417004.

4007145553920 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 1 + 4 + 5 + 553 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6251396800 + ... + 6251397440.

It is an arithmetic number, because the mean of its divisors is an integer number (19781241298).

Almost surely, 2^{4007145553920} is an apocalyptic number.

4007145553920 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 4007145553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121246867280).

4007145553920 is an abundant number, since it is smaller than the sum of its proper divisors (10235348180640).

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

4007145553920 is a wasteful number, since it uses less digits than its factorization.

4007145553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 4007145553920 in words is "four trillion, seven billion, one hundred forty-five million, five hundred fifty-three thousand, nine hundred twenty".