4006457949101 has 4 divisors (see below), whose sum is σ = 4114740596412. Its totient is φ = 3898175301792.

The previous prime is 4006457948981. The next prime is 4006457949113. The reversal of 4006457949101 is 1019497546004.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2939887452100 + 1066570497001 = 1714610^2 + 1032749^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006457949101 - 2²⁶ = 4006390840237 is a prime.

It is a super-2 number, since 2×4006457949101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4006457949101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006457949601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54141323600 + ... + 54141323673.

It is an arithmetic number, because the mean of its divisors is an integer number (1028685149103).

Almost surely, 2^{4006457949101} is an apocalyptic number.

It is an amenable number.

4006457949101 is a deficient number, since it is larger than the sum of its proper divisors (108282647311).

4006457949101 is a wasteful number, since it uses less digits than its factorization.

4006457949101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108282647310.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 4006457949101 in words is "four trillion, six billion, four hundred fifty-seven million, nine hundred forty-nine thousand, one hundred one".