1440138178890 has 240 divisors, whose sum is σ = 4055126933088. Its totient is φ = 366698135232.

The previous prime is 1440138178889. The next prime is 1440138178967. The reversal of 1440138178890 is 988718310441.

1440138178890 is a `hidden beast` number, since 1 + 4 + 401 + 3 + 81 + 78 + 8 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275516457 + ... + 275521683.

Almost surely, 2^{1440138178890} is an apocalyptic number.

1440138178890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440138178890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027563466544).

1440138178890 is an abundant number, since it is smaller than the sum of its proper divisors (2614988754198).

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

1440138178890 is a wasteful number, since it uses less digits than its factorization.

1440138178890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

It can be divided in two parts, 14401381 and 78890, that added together give a triangular number (14480271 = T₅₃₈₁).

The spelling of 1440138178890 in words is "one trillion, four hundred forty billion, one hundred thirty-eight million, one hundred seventy-eight thousand, eight hundred ninety".