1388264463840 has 384 divisors, whose sum is σ = 4807413338112. Its totient is φ = 335227944960.

The previous prime is 1388264463767. The next prime is 1388264463841. The reversal of 1388264463840 is 483644628831.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388264463841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43746219 + ... + 43777941.

It is an arithmetic number, because the mean of its divisors is an integer number (12519305568).

Almost surely, 2^{1388264463840} is an apocalyptic number.

1388264463840 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 1388264463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403706669056).

1388264463840 is an abundant number, since it is smaller than the sum of its proper divisors (3419148874272).

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

1388264463840 is a wasteful number, since it uses less digits than its factorization.

1388264463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31962 (or 31954 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 57.

The spelling of 1388264463840 in words is "one trillion, three hundred eighty-eight billion, two hundred sixty-four million, four hundred sixty-three thousand, eight hundred forty".