4014348978100 has 36 divisors (see below), whose sum is σ = 8734491619084. Its totient is φ = 1601434644480.

The previous prime is 4014348978091. The next prime is 4014348978109. The reversal of 4014348978100 is 18798434104.

It is an interprime number because it is at equal distance from previous prime (4014348978091) and next prime (4014348978109).

It can be written as a sum of positive squares in 6 ways, for example, as 78045361956 + 3936303616144 = 279366^2 + 1984012^2 .

It is a super-2 number, since 2×4014348978100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014348978109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53774349 + ... + 53848948.

Almost surely, 2^{4014348978100} is an apocalyptic number.

It is an amenable number.

4014348978100 is an abundant number, since it is smaller than the sum of its proper divisors (4720142640984).

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

4014348978100 is a wasteful number, since it uses less digits than its factorization.

4014348978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107623684 (or 107623677 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 4014348978100 in words is "four trillion, fourteen billion, three hundred forty-eight million, nine hundred seventy-eight thousand, one hundred".