126463040000 has 400 divisors, whose sum is σ = 354125968416. Its totient is φ = 44697600000.

The previous prime is 126463039999. The next prime is 126463040047. The reversal of 126463040000 is 40364621.

126463040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130239515 + ... + 130240485.

Almost surely, 2^126463040000 is an apocalyptic number.

126463040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126463040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177062984208).

126463040000 is an abundant number, since it is smaller than the sum of its proper divisors (227662928416).

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

126463040000 is an frugal number, since it uses more digits than its factorization.

126463040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 126463040000 in words is "one hundred twenty-six billion, four hundred sixty-three million, forty thousand".