4053964839435 has 720 divisors, whose sum is σ = 9342532742400. Its totient is φ = 1673130235392.

The previous prime is 4053964839409. The next prime is 4053964839467. The reversal of 4053964839435 is 5349384693504.

4053964839435 is a `hidden beast` number, since 4 + 0 + 5 + 39 + 6 + 483 + 94 + 35 = 666.

It is not a de Polignac number, because 4053964839435 - 2⁹ = 4053964838923 is a prime.

It is a super-2 number, since 2×4053964839435² (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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 22647848176 + ... + 22647848354.

It is an arithmetic number, because the mean of its divisors is an integer number (12975739920).

Almost surely, 2^{4053964839435} is an apocalyptic number.

4053964839435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4053964839435 is an abundant number, since it is smaller than the sum of its proper divisors (5288567902965).

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

4053964839435 is a wasteful number, since it uses less digits than its factorization.

4053964839435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 4053964839435 in words is "four trillion, fifty-three billion, nine hundred sixty-four million, eight hundred thirty-nine thousand, four hundred thirty-five".