4247735401440 has 288 divisors, whose sum is σ = 15350879980800. Its totient is φ = 1065902948352.

The previous prime is 4247735401411. The next prime is 4247735401471. The reversal of 4247735401440 is 441045377424.

4247735401440 is a `hidden beast` number, since 4 + 2 + 477 + 35 + 4 + 0 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 171274161 + ... + 171298959.

It is an arithmetic number, because the mean of its divisors is an integer number (53301666600).

Almost surely, 2^{4247735401440} is an apocalyptic number.

4247735401440 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 4247735401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675439990400).

4247735401440 is an abundant number, since it is smaller than the sum of its proper divisors (11103144579360).

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

4247735401440 is a wasteful number, since it uses less digits than its factorization.

4247735401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31834 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 4247735401440 in words is "four trillion, two hundred forty-seven billion, seven hundred thirty-five million, four hundred one thousand, four hundred forty".