126878440000 has 315 divisors, whose sum is σ = 343185135447. Its totient is φ = 46505472000.

The previous prime is 126878439997. The next prime is 126878440061. The reversal of 126878440000 is 44878621.

The square root of 126878440000 is 356200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 88009528896 + 38868911104 = 296664^2 + 197152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 926119932 + ... + 926120068.

Almost surely, 2^126878440000 is an apocalyptic number.

126878440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126878440000 is the 356200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126878440000

126878440000 is an abundant number, since it is smaller than the sum of its proper divisors (216306695447).

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

126878440000 is an frugal number, since it uses more digits than its factorization.

126878440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 126878440000 in words is "one hundred twenty-six billion, eight hundred seventy-eight million, four hundred forty thousand".