977142503733420 has 192 divisors, whose sum is σ = 2828872484960256. Its totient is φ = 251826299919360.

The previous prime is 977142503733397. The next prime is 977142503733421. The reversal of 977142503733420 is 24337305241779.

It is not an unprimeable number, because it can be changed into a prime (977142503733421) 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, 214948714 + ... + 219447566.

It is an arithmetic number, because the mean of its divisors is an integer number (14733710859168).

Almost surely, 2^{977142503733420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977142503733420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414436242480128).

977142503733420 is an abundant number, since it is smaller than the sum of its proper divisors (1851729981226836).

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

977142503733420 is a wasteful number, since it uses less digits than its factorization.

977142503733420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499560 (or 4499558 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 57.

The spelling of 977142503733420 in words is "nine hundred seventy-seven trillion, one hundred forty-two billion, five hundred three million, seven hundred thirty-three thousand, four hundred twenty".