1378554078000 has 320 divisors, whose sum is σ = 4920881472000. Its totient is φ = 329205888000.

The previous prime is 1378554077983. The next prime is 1378554078017. The reversal of 1378554078000 is 8704558731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1378554077983) and next prime (1378554078017).

It is a super-2 number, since 2×1378554078000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4266126 + ... + 4577874.

It is an arithmetic number, because the mean of its divisors is an integer number (15377754600).

Almost surely, 2^{1378554078000} is an apocalyptic number.

1378554078000 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 1378554078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460440736000).

1378554078000 is an abundant number, since it is smaller than the sum of its proper divisors (3542327394000).

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

1378554078000 is a wasteful number, since it uses less digits than its factorization.

1378554078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311853 (or 311837 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 1378554078000 in words is "one trillion, three hundred seventy-eight billion, five hundred fifty-four million, seventy-eight thousand".