1402121228544 has 189 divisors, whose sum is σ = 4197760009429. Its totient is φ = 467203230720.

The previous prime is 1402121228509. The next prime is 1402121228597. The reversal of 1402121228544 is 4458221212041.

The square root of 1402121228544 is 1184112.

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

1402121228544 is a `hidden beast` number, since 1 + 402 + 1 + 21 + 228 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414880268544 + 987240960000 = 644112^2 + 993600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1402121228499 and 1402121228508.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 511535014 + ... + 511537754.

Almost surely, 2^{1402121228544} is an apocalyptic number.

1402121228544 is the 1184112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402121228544

1402121228544 is an abundant number, since it is smaller than the sum of its proper divisors (2795638780885).

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

1402121228544 is an frugal number, since it uses more digits than its factorization.

1402121228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 1402121228544 by its sum of digits (36), we get a square (50476364227584 = 7104672²).

1402121228544 divided by its sum of digits (36) gives a square (38947811904 = 197352²).

The spelling of 1402121228544 in words is "one trillion, four hundred two billion, one hundred twenty-one million, two hundred twenty-eight thousand, five hundred forty-four".