126264401040 has 80 divisors (see below), whose sum is σ = 394883618688. Its totient is φ = 33372530688.

The previous prime is 126264401009. The next prime is 126264401111. The reversal of 126264401040 is 40104462621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126264400989 and 126264401007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300764 + ... + 2355003.

Almost surely, 2^126264401040 is an apocalyptic number.

126264401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126264401040 is an abundant number, since it is smaller than the sum of its proper divisors (268619217648).

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

126264401040 is a wasteful number, since it uses less digits than its factorization.

126264401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655896 (or 4655890 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 126264401040 its reverse (40104462621), we get a palindrome (166368863661).

The spelling of 126264401040 in words is "one hundred twenty-six billion, two hundred sixty-four million, four hundred one thousand, forty".