1378452031488 has 1152 divisors, whose sum is σ = 5021596944000. Its totient is φ = 371960709120.

The previous prime is 1378452031487. The next prime is 1378452031531. The reversal of 1378452031488 is 8841302548731.

1378452031488 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 4 + 520 + 31 + 4 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1378452031488² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1378452031487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4164507483 + ... + 4164507813.

It is an arithmetic number, because the mean of its divisors is an integer number (4359025125).

Almost surely, 2^{1378452031488} is an apocalyptic number.

1378452031488 is a gapful number since it is divisible by the number (18) 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 1378452031488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510798472000).

1378452031488 is an abundant number, since it is smaller than the sum of its proper divisors (3643144912512).

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

1378452031488 is a wasteful number, since it uses less digits than its factorization.

1378452031488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1378452031488 in words is "one trillion, three hundred seventy-eight billion, four hundred fifty-two million, thirty-one thousand, four hundred eighty-eight".