4251332853040 has 480 divisors, whose sum is σ = 13465430907264. Its totient is φ = 1232096624640.

The previous prime is 4251332853037. The next prime is 4251332853083. The reversal of 4251332853040 is 403582331524.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4251332852984 and 4251332853002.

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, 31987525 + ... + 32120155.

Almost surely, 2^{4251332853040} is an apocalyptic number.

4251332853040 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 4251332853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732715453632).

4251332853040 is an abundant number, since it is smaller than the sum of its proper divisors (9214098054224).

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

4251332853040 is a wasteful number, since it uses less digits than its factorization.

4251332853040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132725 (or 132712 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 4251332853040 in words is "four trillion, two hundred fifty-one billion, three hundred thirty-two million, eight hundred fifty-three thousand, forty".