4235740006400 has 864 divisors, whose sum is σ = 12753646214400. Its totient is φ = 1389536870400.

The previous prime is 4235740006391. The next prime is 4235740006417. The reversal of 4235740006400 is 46000475324.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8321689346 + ... + 8321689854.

It is an arithmetic number, because the mean of its divisors is an integer number (14761164600).

Almost surely, 2^{4235740006400} is an apocalyptic number.

4235740006400 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 4235740006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376823107200).

4235740006400 is an abundant number, since it is smaller than the sum of its proper divisors (8517906208000).

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

4235740006400 is a wasteful number, since it uses less digits than its factorization.

4235740006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 4235740006400 in words is "four trillion, two hundred thirty-five billion, seven hundred forty million, six thousand, four hundred".