1902430740672 has 336 divisors, whose sum is σ = 6801626337792. Its totient is φ = 493911613440.

The previous prime is 1902430740653. The next prime is 1902430740673. The reversal of 1902430740672 is 2760470342091.

1902430740672 is a `hidden beast` number, since 1 + 90 + 2 + 430 + 74 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1902430740672³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1902430740673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111004488 + ... + 111021624.

Almost surely, 2^{1902430740672} is an apocalyptic number.

1902430740672 is a gapful number since it is divisible by the number (12) 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 1902430740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400813168896).

1902430740672 is an abundant number, since it is smaller than the sum of its proper divisors (4899195597120).

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

1902430740672 is a wasteful number, since it uses less digits than its factorization.

1902430740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19676 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1902430740672 in words is "one trillion, nine hundred two billion, four hundred thirty million, seven hundred forty thousand, six hundred seventy-two".