49406257407969 has 48 divisors (see below), whose sum is σ = 90867104040960. Its totient is φ = 25119511901280.

The previous prime is 49406257407919. The next prime is 49406257408009. The reversal of 49406257407969 is 96970475260494.

It is a happy number.

49406257407969 is a `hidden beast` number, since 4 + 9 + 40 + 6 + 2 + 574 + 0 + 7 + 9 + 6 + 9 = 666.

It is not a de Polignac number, because 49406257407969 - 2¹⁶ = 49406257342433 is a prime.

It is a super-2 number, since 2×49406257407969² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49406257407897 and 49406257407906.

It is not an unprimeable number, because it can be changed into a prime (49406257407919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758406799 + ... + 758471940.

It is an arithmetic number, because the mean of its divisors is an integer number (1893064667520).

Almost surely, 2^{49406257407969} is an apocalyptic number.

It is an amenable number.

49406257407969 is a deficient number, since it is larger than the sum of its proper divisors (41460846632991).

49406257407969 is a wasteful number, since it uses less digits than its factorization.

49406257407969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516878810 (or 1516878807 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 49406257407969 in words is "forty-nine trillion, four hundred six billion, two hundred fifty-seven million, four hundred seven thousand, nine hundred sixty-nine".